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 A207873 Numerator of Z(n,1/2), where Z(n,x) is the n-th Zeckendorf polynomial. 5
 1, 1, 1, 5, 1, 9, 5, 1, 17, 9, 5, 21, 1, 33, 17, 9, 41, 5, 37, 21, 1, 65, 33, 17, 81, 9, 73, 41, 5, 69, 37, 21, 85, 1, 129, 65, 33, 161, 17, 145, 81, 9, 137, 73, 41, 169, 5, 133, 69, 37, 165, 21, 149, 85, 1, 257, 129, 65, 321, 33, 289, 161, 17, 273, 145, 81, 337 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS The Zeckendorf polynomials Z(x,n) are defined and ordered at A207813.  See A207872 for denominators to match A207873. LINKS MATHEMATICA fb[n_] := Block[{k = Ceiling[Log[GoldenRatio, n*Sqrt[5]]], t = n, fr = {}}, While[k > 1, If[t >= Fibonacci[k], AppendTo[fr, 1]; t = t - Fibonacci[k],     AppendTo[fr, 0]]; k--]; fr]; t = Table[fb[n],       {n, 1, 500}]; b[n_] := Reverse[Table[x^k, {k, 0, n}]] p[n_, x_] := t[[n]].b[-1 + Length[t[[n]]]] Table[p[n, x], {n, 1, 40}] Denominator[Table[p[n, x] /. x -> 1/2,    {n, 1, 120}]]                       (* A207872 *) Numerator[Table[p[n, x] /. x -> 1/2,    {n, 1, 120}]]                       (* A207873 *) CROSSREFS Cf. A207813, A207873. Sequence in context: A094650 A189234 A199736 * A198671 A129343 A342634 Adjacent sequences:  A207870 A207871 A207872 * A207874 A207875 A207876 KEYWORD nonn AUTHOR Clark Kimberling, Feb 21 2012 STATUS approved

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Last modified May 9 04:53 EDT 2021. Contains 343687 sequences. (Running on oeis4.)